{
 "metadata": {
  "name": "recognizer-steps"
 },
 "nbformat": 3,
 "nbformat_minor": 0,
 "worksheets": [
  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Recognizer Steps\n",
      "=================\n",
      "\n",
      "Here is a demonstration of the different steps of the recognizer.\n",
      "This worksheet may also be useful for debugging the recognizer or segmenter."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We add \"..\" to the search path so that we get the `ocrolib` directory we are working in."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": true,
     "input": [
      "sys.path = [\"..\"]+sys.path"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "code",
     "collapsed": true,
     "input": [
      "from pylab import *\n",
      "import ocrolib; reload(ocrolib)\n",
      "from ocrolib import morph; reload(morph)\n",
      "from ocrolib import lineseg; reload(lineseg)\n",
      "from ocrolib import lineproc; reload(lineproc)\n",
      "from ocrolib import segrec; reload(segrec)\n",
      "from collections import Counter\n",
      "from scipy.ndimage import measurements"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Loading the Image\n",
      "================="
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Select the input image here."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": true,
     "input": [
      "fname = \"010023.png\"\n",
      "#fname = \"010052.png\"\n",
      "#fname = \"010015.png\""
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's read the input image."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "image = ocrolib.read_image_gray(fname)\n",
      "figsize(18,6); gray()\n",
      "imshow(image)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 4,
       "text": [
        "<matplotlib.image.AxesImage at 0x40f6550>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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LFIc9l41TTU0NbW1t4t/SHEmdFYKDg8+5gJnZbBbFbauqqkRqq5Q2ZjKZPNr0WSyWn8zT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\nHAUMBoPBYDAYDAaDwWAwKP8HYgBGKVcAwSMAAAAASUVORK5CYII=\n"
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Input images to the line segmenter should be black-on-white and only contain components from a single line.\n",
      "The x-height should be somewhere between 15 and 30 pixels.  \n",
      "\n",
      "The line recognizers will check whether line height and other aspects of the image are reasonable and otherwise\n",
      "refuse to recognize the line (this can be overridden).\n",
      "\n",
      "The line recognizer will also attempt to remove noise from the input."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The Segmenter\n",
      "================="
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's run the segmenter, just to see how well it is working by itself."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "reload(lineseg)\n",
      "segmenter = lineseg.DPSegmentLine()\n",
      "seg = segmenter.charseg(image)\n",
      "morph.showlabels(seg)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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V6gqcOfNhyxVtYDTqKavdjZhMBpuxJwYNGoXx42dTVnAyM1Px9dcfkvEhrl7V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\nIYQI/g8eSS9GuYhCeQAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 5
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The Character Recognizer\n",
      "========================"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now we load the character recognition model."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": true,
     "input": [
      "if \"cmodel\" not in dir():\n",
      "    cmodel = ocrolib.load_component(ocrolib.ocropus_find_file(\"st1m.cmodel\"))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 6
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "We can actually run the character recognizer on a single character image.  Here is an example of that.\n",
      "\n",
      "Note that inputs to the character recognizer are white-on-black."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(3,3)\n",
      "cimage = (seg==1)[:,:50]\n",
      "imshow(cimage)\n",
      "cmodel.coutputs(cimage)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "pyout",
       "prompt_number": 7,
       "text": [
        "[(u'a', 0.76715311451543922),\n",
        " (u'~', 0.075937223702083306),\n",
        " (u's', 0.010106748771711218),\n",
        " (u'M', 0.0072766973145869246),\n",
        " (u'n', 0.0063022033426955518),\n",
        " (u't', 0.0048166106541687346),\n",
        " (u'B', 0.0020075400273543509)]"
       ]
      },
      {
       "output_type": "display_data",
       "png": "iVBORw0KGgoAAAANSUhEUgAAAMIAAADECAYAAADNuP4sAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQQhAgiAEIEEQApAgCAFIEIQAJAhCAPB/wRyjf64OTwkAAAAASUVORK5CYII=\n"
      }
     ],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The Line Recognizer\n",
      "===================="
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here we construct the line recognizer from the segmenter and the character model.\n",
      "There is also a space model."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": true,
     "input": [
      "linerec = ocrolib.CmodelLineRecognizer(cmodel=cmodel,whitespace=\"space.model\",\n",
      "                                       maxrange=4,verbose=1,debug_cls=None,\n",
      "                                       segmenter=segmenter)\n",
      "linerec.use_ligatures = 0\n",
      "linerec.maxcost = 10.0\n",
      "linerec.nbest = 3\n",
      "linerec.display = 0\n",
      "linerec.norejects = 1"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 8
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Now let's run the line recognizer."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(16,16)\n",
      "linerec.recognize(image)\n",
      "print linerec.bestpath()\n",
      "imshow(linerec.image,interpolation='nearest')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "against invasion. They appear to have had good reason for \n"
       ]
      },
      {
       "output_type": "pyout",
       "prompt_number": 9,
       "text": [
        "<matplotlib.image.AxesImage at 0x9f1b290>"
       ]
      },
      {
       "output_type": "display_data",
       "png": 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l6mi561Juy63s9SuOJ4jXWvTZE6R2wynPpspa5nzdytCPslPpQxSHzTM1WM/nx8REsamJ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\n"
      }
     ],
     "prompt_number": 9
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "You can see the segmentation graph and the recognized characters with the `ocropus-ngraphs --print` command.\n",
      "The (vertical) numbers indicate the segment numbers in the raw segmentation.\n",
      "The vertical position of each hypothesis indicates roughly how probable it is, with less probable\n",
      "hypotheses being lower."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "grouper = linerec.getLattice()\n",
      "grouper.saveLattice(open(\"test.lattice\",\"w\"))\n",
      "!ocropus-ngraphs --print test.lattice"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0\r\n",
        "0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6\r\n",
        "0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9\r\n",
        "\r\n",
        " |a|~____|i|n__|s|t|i|1|~|~____|s|~__|3|n__|.|T|~____|~|y|a|p__|p__|e|a|r|t|t|y|h__|a|v|e|l|~|a|e|t|g__|o__|o__|t|1|~__|a|s|o__|r|i|~__|o|r\r\n",
        " |s|0|~__|t|e|n|S| |t|n__|v__|a|~______|t|a|,|r|~______|7|s|f|f|F|~__|~__| |c|3|8__| |w| |h__| |d__|0|r|~____|o|e|+|r|e|p|t|c|)|i| |~____|f\r\n",
        "   |g__|a| |f| |t|   |f| |v|r| |8|~____|r|   |f|l|~____| |M|r|1|l|3|e__|   |o__|f|n|     |H|     |l|y|E|t|,|c| |d__|e|e__| |C|J|n__|f|o__| \r\n",
        "   |f|r|       |\"__| |g__| |w__|'|i|o__|s__|   |h__|c|a|   |P__| |o|       |T__|b__|               |8__|c|2|T__|           |d__|     |(|)| \r\n",
        "     |E|       |u__|       |m__|a____|5|       |1|f|e__|       |o____|                                 |T__|                         |T__| \r\n",
        "   |8__|                 |y__| |m____|           |H__|4|       |P__|                                     |K__|                     |~______\r\n",
        "                           |F| |M__|T__|         |q__|a__|       |s____|                                 |R__|                       |~____\r\n",
        "                               |u__|(|             |o____|     |p____|                                   |e____|                       |N__\r\n",
        "                                 |r|                 |T__|                                             |n______|                       |v__\r\n",
        "                                                   |p____|                                                                                 \r\n"
       ]
      }
     ],
     "prompt_number": 10
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Let's look at the output from the line segmenter that the recognizer was actually using."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(16,16)\n",
      "morph.showlabels(linerec.rseg)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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RE3Do0BaD/d3dmdi/X+MyR6czkJyseeA4OwvB47Fw/vxkyOVK9OmzHenptbee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\n"
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "And here we can see the individual characters and their associated outputs.\n",
      "\n",
      "The special class \"~\" means a reject.\n",
      "\n",
      "The values here are _costs_, i.e., negative log probabilities (the `coutputs` method for\n",
      "the cmodel recognizer outputs posterior probabilities.)"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "figsize(16,24)\n",
      "for i,c in enumerate(linerec.chars[:256]):\n",
      "    subplot(16,16,i+1)\n",
      "    xticks([]); yticks([])\n",
      "    xlabel(\"%s %.1f\"%(c.outputs[0]))\n",
      "    imshow(c.image,interpolation='nearest')\n",
      "    "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "display_data",
       "png": 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pIzyymepJ2Q5cwRTp9BhZBJC1TL2SFLqAmXIZfUsmyCMXuZxfUM8lmc57SCAI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\n6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WfPnqmurk6zs7O6d+9e2rm1tbW0mbNyztHr6enR9PS03G633rx5Y21as7a2\nppaWFklKq0Fomqba29upQYh9Ia8WpYBxWj7+NiPY19en/v5+GYah79+/6+bNm5KkWCymUChktfP5\nfAoGg3r9+rUaGho0PT2d934DALL3z0G+ebkuPdmqQbhdphqEgUCgkF1DGdvKq00kEnr06JEeP36s\n9vZ28mpRVBin5cHpdGp5eXnH82fOnNHCwoLt9QsXLuj58+fW8dzcXF76BwDIjYIFi9tz9HbLYQDw\n/4TDYUmy8mr/Ziuvtra2lrxaFBTjFACA0lGw0hmtra0aGRnRxsaGksmk4vH4rruokccA5Ad5tSgF\njFMAAA5WzoPFnZYEmaapYDAo0zQVCAQUiUSstqFQSLFYTJI0NjamhoYGzc/Pq6WlhWWaQB6QV4tS\nwDgFAOBgVaSYvgMAAAAAbFOwZagAAAAAgNJBsAgAAAAAsCFYBAAAAADYECwCAAAAAGwIFgEAAAAA\nNgSLAAAAAACbfwHiKxDkVHPKmQAAAABJRU5ErkJggg==\n"
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "code",
     "collapsed": true,
     "input": [],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 12
    }
   ],
   "metadata": {}
  }
 ]
}